References
- Calabi E. Isometric imbedding of complex manifolds. Ann Math (2). 1953;58: 1–23.
- Di Scala A, Loi A. Kähler maps of Hermitian symmetric spaces into complex space forms. Geom Dedicata. 2007;125:103–113.
- Loi A, Mossa R. Kähler immersions of Kähler-Ricci solitons into definite or indefinite complex space forms. Proc Am Math Soc. 2021;149(11):4931–4941.
- Umehara M. Kaehler submanifolds of complex space forms. Tokyo J Math. 1987;10(1):203–214.
- Mok N. Geometry of holomorphic isometries and related maps between bounded domains. In: Geometry and analysis. No. 2, 225–270, Advanced Lectures in Mathematics (ALM) 18, Somerville (MA): Int. Press, 2011.
- Mok N. Some recent results on holomorphic isometries of the complex unit ball into bounded symmetric domains and related problems. In: Geometric complex analysis, 269–290, Springer Proceedings in Mathematics & Statistics, 246, Singapore: Springer, 2018.
- Yuan Y. Local holomorphic isometries, old and new results. In: Proceedings of the seventh international congress of Chinese mathematicians. Vol. II, p. 409–419, Advanced Lectures in Mathematics (ALM), 44, Somerville(MA): Int. Press, 2019.
- Umehara M. Diastasis and real analytic functions on complex manifolds. J Math Soc Japan. 1988;40(3):519–539.
- Di Scala A, Loi A. Kähler manifolds and their relatives. Ann Sc Norm Super Pisa Cl Sci (5). 2010;9(3):495–501.
- Huang X, Yuan Y. Submanifolds of Hermitian symmetric spaces. In: Baklut A, Kacim AE, Kallel S, Mir N, editors. Analysis and geometry, Springer proceedings in mathematics & statistics. Vol. 127, Cham: Springer; 2015. p. 197–206.
- Cheng X, Di Scala AJ, Yuan Y. Kähler submanifolds and the Umehara algebra. Int J Math. 2017;28(4):Article ID 1750027. 13 pp.
- Su G, Tang Y, Tu Z. Kähler submanifolds of the symmetrized polydisk. C R Math. 2018;356(4):387–394.
- Cheng X, Hao Y. On the non-existence of common submanifolds of Kähler manifolds and complex space forms. Ann Glob Anal Geom. 2021;60(1):167–180.
- Cheng X, Niu Y. Submanifolds of Cartan–Hartogs domains and complex Euclidean spaces. J Math Anal Appl. 2017;452(2):1262–1268.
- Ishi H, Park J-D, Yamamori A. Bergman kernel function for Hartogs domains over bounded homogeneous domains. J Geom Anal. 2017;27(2):1703–1736.
- Huang X, Yuan Y. Holomorphic isometry from a Kähler manifold into a product of complex projective manifolds. Geom Funct Anal. 2014;24(3):854–886.
- Wang A, Yin W, Zhang L, et al. The Kähler–Einstein metric for some Hartogs domains over symmetric domains. Sci China Ser A. 2006;49(9):1175–1210.
- Ahn H, Byun J, Park J-D. Automorphisms of the Hartogs type domains over classical symmetric domains. Int J Math. 2012;23(9):Article ID 1250098. 11 pp.
- Yin W, Lu K, Roos G. New classes of domains with explicit Bergman kernel. Sci China Ser A. 2004;47(3):352–371.
- Clozel L, Ullmo E. Correspondances modulaires et mesures invariantes. J Reine Angew Math. 2003;558:47–83.